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| Errors in FORM''''s failure probability induced by non-Gaussian variables |
| Revised:July 29, 2003 |
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| DOI：10.7511/jslx20053058 |
| KeyWord:FORM,non-gaussian distribution,transformation function |
| LIN Dao-jin MEI Gang QIN Quan~* |
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| Abstract: |
| The basic ideas behind the first order reliability method (FORM) are first to transform non-Gaussian variables into independent standard Gaussian ones, and then to linearize performance functions at the design point. The errors in the failure probability given by FORM come from nonlinear properties of performance functions at the design point. This paper shows that errors in the failure probability also come from curvatures in transformation functions from nine non-Gaussian distributions ,and that senses and values of these errors in the failure probability given by FORM depend on which distribution function the concerned variable has and whether resistance or load the variable is. |
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